کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10149819 1646774 2019 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels
چکیده انگلیسی
The Clenshaw-Curtis-type quadrature rule is proposed for the numerical evaluation of the hypersingular integrals with highly oscillatory kernels and weak singularities at the end points for any smooth functions g(x). Based on the fast Hermite interpolation, this paper provides a stable recurrence relation for these modified moments. Convergence rates with respect to the frequency k and the number of interpolation points N are considered. These theoretical results and high accuracy of the presented algorithm are illustrated by some numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 340, 1 January 2019, Pages 251-267
نویسندگان
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